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4024/12 May/Jun 2022, Question 19: Set Notation

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Given sets ℰ, P, Q and R, find a union and a counted intersection with complements; then use set notation to describe a shaded region in a three-set Venn diagram.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 1 mark

Find the union of sets P and Q.

  1. 1P ∪ Q = everything in P or Q
  2. 2= {a, e, f, g, h, i, j}

Answer{a, e, f, g, h, i, j}

Part (aii) · 1 mark

Find the number of elements in the complement of P intersected with the union of Q and R.

  1. 1P′ = {b, c, d, f, g, h, j}
  2. 2Q ∪ R = {c, d, e, f, g, h, i, j}
  3. 3P′ ∩ (Q ∪ R) = {c, d, f, g, h, j}
  4. 4n(P′ ∩ (Q ∪ R)) = 6

Answer6

Part (b) · 1 mark

Write set notation for the shaded subset shown in the Venn diagram with sets A, B and C.

  1. 1The shaded region is inside A and inside C but outside B
  2. 2A ∩ C ∩ B′

AnswerA ∩ C ∩ B′

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Also searched as: 4024/12/M/J/22 · 4024_s22_qp_12 · 4024 s22 12 · question 19.
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